The weight of the jar after solving equation simultaneously is w=0.
Define system of linear equation.A set of two or more first-degree equations with two or more connected unknowns is known as a system of linear equations.
How to solve system of linear equation.A system of equations is solved by determining the value of each unknown until the system's equations are all satisfied. That is, it is necessary to find the values of the unknowns so that, when substituted, they will produce the suggested solution in both equations.
j+w=1.5
2j+w=3
Simultaneously solving gives
w=0
the weight of jar is 0.
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PLEASE HELP ME THIS IS DUE RIGHT NOW HELP ASAP
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Explanation:
We'll need to find the slope of the line through the two given points.
[tex](x_1,y_1) = (-3,17) \text{ and } (x_2,y_2) = (2,-3)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{-3 - 17}{2 - (-3)}\\\\m = \frac{-3 - 17}{2 + 3}\\\\m = \frac{-20}{5}\\\\m = -4\\\\[/tex]
The slope is -4.
Think of -4 as -4/1. The reciprocal is -1/4, and it flips in sign to +1/4 or simply 1/4.
The original slope -4 leads to the perpendicular slope 1/4. The two slopes multiply to -1. This is true of any perpendicular lines where neither is vertical nor horizontal.
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In short, the answer equation will involve a slope of 1/4. This points us directly to choices A and E as two answers so far.
Something like choice B is not an answer since it has slope 4. Choice C is ruled out because 4x+y = -8 solves to y = -4x-8. It has a slope of -4.
Choice D on the other hand has x-4y = 2 solve to y = (1/4)x - 1/2, and this has a slope of 1/4 that we want. This means choice D is another answer.
Choice F and choice G are ruled out because they involve slopes of 4 and -4 respectively.
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Summary: The 3 answers are choices A, D and E
Step-by-step explanation:
the slope of a line is the ratio
y coordinate change / x coordinate change
when going from one point on the line to another.
so for (-3, 17) and (2, -3) we get
x changes by +5 (from -3 to 2).
y changes by -20 (from 17 to -3).
the slope is
-20/+5 = -4/1 = -4
now, a perpendicular slope (90° to the original slope) is putting the slope fraction upside-down and flips the sign :
+1/4 or simply 1/4.
the slope in an equation of the form "y = ..." is always the factor of x.
y + 2 = (1/4)(x - 1)
yes, there are only some constant additions or subtractions to get to a or "y = ..." form, so 1/4 is indeed the factor of x and the slope of this line.
y = 4x + 12
4 <> 1/4, so, no, it is not.
4x + y = -8
y = -4x - 8
-4 <> 1/4, so, no, it is not.
x - 4y = 2
-4y = -x + 2
y = (1/4)x - 2/4
1/4 is indeed 1/4, so, yes, it is.
y = (1/4)x - 15
1/4 is indeed 1/4, so, yes, it is.
y + 3 = 4(x - 2)
similar to the first one, but 4 <> 1/4, so, no, it is not.
y = -4x + 3
-4 <> 1/4, so, no, it is not.
In the figure below, a surveyor put stakes at the lettered points. He used string to determine lengths of line segments and a transit to check that the angles at D and B were both right angles.
If CD = 3, CE = 5, DE = 4 and DB = 18, and:
AB/DB=BC/CD
AB =
units.
The length of segment AB is given as follows:
AB = 20 units.
What are similar triangles?Similar triangles are triangles that share these two features given as follows:
Congruent angle measures.Proportional side lengths.The similar triangles for this problem are given as follows:
ABD and CDE.
Hence the proportional relationship that can be established between the side lengths is given as follows:
AB/DE = BC/CD = AC/CE.
The side lengths are given as follows:
CD = 3, CE = 5, DE = 4, DB = 18.
As CD = 3 and DB = 18, using the segment addition postulate, we have that:
BC = BD - CB
BC = 18 - 3
BC = 15 units.
Hence the length AB is obtained as follows:
AB/4 = 15/3
AB/4 = 5
Applying cross multiplication, we have that:
AB = 4 x 5
AB = 20 units.
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Please Help! Need this to pass :/
Answer:
d=12.5
Step-by-step explanation:
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PLEASE ANSWER ASAP FOR BRAINLEST SUPER EASY QUESTION!!!!!!!!!!!!!!!!!!!!
what is 26.75 rounded to the nearest 10th? Show your work/explain.
Answer:
26.8
Step-by-step explanation:
you round up 5 and make the 7 an 8
Answer:
26.8
Step-by-step explanation:
The number after the decimal is the "tenth" and any number that is five or larger, you would round up. The number to the right of the tenth is 0.05 which is equal to five so you would round up. Hence the answer 26.8
Solve 10ax + 9b = 8cx + d for x
Answer:
Step-by-step explanation:
Step 1: Subtract 8cx from both sides of the equation to get
10ax + 9b - 8cx = d
Step 2: Subtract 9b from both sides of the equation to get
10ax - 8cx = d - 9b
Step 3: Multiply both sides of the equation by (-1/10) to get
-8cx/10 = -(d - 9b)/10
Step 4: Add (d - 9b)/10 to both sides of the equation to get
-8cx/10 + (d - 9b)/10 = 0
Step 5: Simplify the left side of the equation to get
x = (9b - d)/80
Therefore, x = (9b - d)/80 is the solution to the equation 10ax + 9b = 8cx + d.
Between 2020 and 2021, the population of a town decreased by 35%
In 2021, the population of the town was 94,900
What was the population of the town in 2020?
Answer:
Step-by-step explanation:
Answer:
97611 is the correct answer
HAVE A NICE DAY
WILL GIVE BRAINLST :)
Answer:
6). x + 70° + 70° = 180°
x + 140° = 180°
x = 180° - 140° = 40°
Therefore x is equal to 40°
7). y + 55° +60° = 180°
y + 115° = 180°
y = 180° - 115° = 65°
Therefore x is equal to 65°
8). n + n + 50° = 180°
2n + 50° = 180°
2n = 180° - 50° = 130°
n = 130°/2 = 65°
Therefore both the angles are 65°
Explaination:
All the angles of a triangle always add up to 180°
Assume that y varies directly with x. If y = 18 when x = -3, find x when y = 6.
Answer:
x=-1
Step-by-step explanation:
y=kx
18=-3*k
k=-6
6=x*-6
x=-1
Answer:
x=-+1
Step-by-step explanation:
Kyle has a loan of $32,890
This loan has a simple interest rate of 8% per year
What is the amount of interest that Kyle will be
charged on the loan at the end of one year?
Answer:
$2,631.20
Step-by-step explanation:
We are told that the loan has a simple interest rate of 8% per year. This means that every year that goes on without Kyle paying back the money, he will have to pay an extra 8% of $32,890 as interest.
After one year, he only has to pay back one lot of interest, just 8% of $32,890.
To find that number we can change 8% into a decimal: 8%/100% = 0.08
And then multiply this by the amount of loan money:
0.08 x 32,890 = 2,631.20
Kyle has to pay $2,631.20 of interest at the end of one year.
Hope this helped!
given the rectangular coordinates (0,-8), find the two polar coordinate pairs in radians represents the same point?
Answer:
the rectangular coordinates are , so the answer is A.
Step-by-step explanation:
sorry if it wrong ≧◇≦
Help help help help help help help
Answer:
a + b
Step-by-step explanation:
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
x = a + b
Solving Polynomial Equations
25x²-9=0
Answer:
x = (3/5, -3/5)
I need to figure out how to do linear fuctions... If I could get help that would be great, thanks.
Answer:
linear function can be found by looking at a linear graph and determining the equation of the line and converting that equation into a function.Step-by-step explanation:
The steps to do this are: Find the y-intercept (this is equal to b in the formula) Find the slope of the line (this is equal to m in the formula)
Davi, Gustavo, and Mariana each pack a rectangular blanket for their picnic. The measurements of their blankets are listed in the following table. If they want to use the blanket with the largest area for their picnic, which blanket should they choose?
Davi blanket your mom
The blanket that they should choose is the one for which the multiplication of dimensions result in the largest value.
How to calculate the area of a rectangle?The area of a rectangle of dimensions length and width is given by the multiplication of these dimensions, as follows:
Area = length x width.
Then, to obtain the area for each blanket, their dimensions must be multiplied.
Then the blankest with the greatest area is the one for which the multiplication of the dimensions will result in the largest value.
(applying the formula for the area of the rectangle).
Missing InformationThe problem is incomplete, as the dimensions were not given, hence the answer is given in general terms.
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A 1050 kg car travels on the freeway at a speed of 33 m/s. What is the cars kinetic energy?
Answer:
571 725
Step-by-step explanation:
Genetic energy formula:m.v²
2
1050.33²=
2
=1050.1089=
2
1 143 450:2=571 725
Y+4>-3x-1 is (-1,4) show solution
Answer:
It is a solution
Step-by-step explanation:
Given
[tex]y + 4 > 3x-1[/tex]
Required
Is [tex](-1,4)[/tex] a solution
[tex](-1,4)[/tex] implies that:
[tex]x=-1\ \ \y = -4[/tex]
Substitute in:
[tex]y + 4 > 3x-1[/tex]
[tex]-4 + 4 > 3 * -1 -1[/tex]
[tex]-4 + 4 > -3 -1[/tex]
[tex]0 > -4[/tex]
The above inequality is true.
Hence, [tex](-1,4)[/tex] is a solution y + 4 > 3x-1
Translate the phrase into an algebraic expression. The difference of w and 2
Simplify in radical form:
-x√28+10√63x²
Radical form is rather simple. It refers to the form of a number or algebraic expression where the number or expression is contained under a radical. The answer is [tex]$-8 \sqrt{2} x+30 \sqrt{6} x^2$[/tex].
What does in radical form mean?Simply put, simplifying a radical eliminates the need to find any more square roots, cube roots, fourth roots, etc. when expressing it in its simplest radical form. Additionally, it entails eliminating any radicals from the denominator of a fraction.
A radical notation is an expression that makes use of a root, such as the square or cube root.
The fundamentals of radical form are simple. When a numerical or algebraic expression is under a radical, the term refers to that version of the expression. To improve that, we can manipulate a number or an algebraic expression in radical form to convert it to simplest radical form.
[tex]\text { Simplify }-x \sqrt{2} 8+10 \sqrt{6} 3 x^2:-\\\\8 \sqrt{2} x+30 \sqrt{6} x^2 -x \sqrt{2} \cdot 8+10 \sqrt{6} \cdot 3 x^2 \\\\& =-8 \sqrt{2} x+30 \sqrt{6} x^2\end{aligned}$$[/tex]
Therefore, the answer is [tex]$-8 \sqrt{2} x+30 \sqrt{6} x^2$[/tex].
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Whats the answer to this?
−0.7(−5b−5b+7)−0.9b
Answer: Simplify the expression.
6.1b − 4.9
8+ ((3² x 6)- 18) ÷ 9
Please help will mark Brainly
Answer:
they are intersecting.. so, there's one solution. the ordered pair is (-1,4).
A new pair of shoes you would like to purchase is 65% off. If you paid $135 for the shoes, how much was the original cost?
Solving the equation the original cost of the shoes before the discount will be obtained as $385.
To find the original cost of the shoes before the discount, you can use the following equation:
original cost = final cost÷ (1 - discount percentage)
In this case:
original cost = $135 ÷ (1 - 0.65)
To find the final cost you need to multiply 135 by 1 - 0.65.
0.65 is the equivalent to 65% when it's represented as a decimal.
0.65 represents the proportion of the original price that was removed (65% or 0.65)
So:
original cost = $135 ÷ (1 - 0.65)
original cost = $135 ÷ (1 - 0.65) = $135 ÷ 0.35 = $385
The original cost of the shoes before the discount was $385.
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figure A is reduced of figure B.
a). what is the scale factor?
b). if A has area 15cm2. find the area of B.
Part A
Answer: 3/5Reason:
Divide the side lengths of B over A to get B/A = 3/5. The order is important. The fraction 3/5 is smaller than 1 to indicate a size reduction. There are no units involved with the scale factor.
=========================================
Part B
Answer: 5.4 square cmReason:
The linear scale factor is 3/5. The area scale factor is (3/5)^2 = 9/25. It means if figure A had area 25, then figure B would have area 9.
Let's use that idea to set up the following:
(area of figure B)/(area of figure A) = 9/25
B/A = 9/25
x/15 = 9/25
25x = 15*9
25x = 135
x = 135/25
x = 5.4 represents the area of figure B
lil help here please
Answer:
d=-48
Step-by-step explanation:
d=-8x6=-48
Answer and Step-by-step explanation:
To solve for d, we need to get it by itself. We do that by multiplying 6 to both sides of the equation.
d = -48
When we plug -48 in for d we get:
[tex]\frac{-48}{6} = -8[/tex].
That means the answer is indeed d = -48.
#TeamTrees #PAW (Plant And Water)
Whats the anwser for 3 2/7 + 1 4/7
Answer:
4 6/7
Step-by-step explanation:
Experiments on learning in animals sometimes measure how long it takes mice to find their way through a maze. Only half of all mice complete one particular maze in less than 18 seconds. A research thinks that a loud noise will cause the mice to complete the maze faster. She measures the proportion of 40 mice that completed the maze in less than 18 seconds with noise as a stimulus. The proportion of mice that completed the maze in less than 18 seconds is . The hypotheses for a test to answer the researcher's question are
a) H0: p = 0.5, Ha: p ≠ 0.5.
b) H0: p = 0.5, Ha: p < 0.5.
c) H0: p = 0.5, Ha: p > 0.5.
Answer:
Option c (H0: p = 0.5, Ha: p > 0.5) is the correct option.
Step-by-step explanation:
According to the question,
p = 0.5
We must check whether in less than 18 seconds the percentage including all razer mice finish a certain labyrinth is above half, which would be p > 0.5. It's over 1/2 the mouse with much less than 18 seconds to finish the maze.Throughout null H0, humans assert that the percentage of the particular period seems to be equivalent to that specified as well as that beneath theoretical frameworks, this same percentage is always < (less than) or > (greater than) or doesn't equal to the category as per the hypothesis matter.The other given alternatives aren't related to the given explanation or the conditions. So the above is the right option.
June is buying a sweater using a coupon offering a 30% discount on items over $99. If the discounted price is $91, how much was the original price of the sweater?
Answer: 130
Step-by-step explanation:
The original price of the sweater is $303.
What is discount?A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.
Given that, June is buying a sweater using a coupon offering a 30% discount on items over $99.
The discounted price is $91
Let the original price of the sweater be x.
So, 30% of x=91
30/100 ×x=91
0.3x=91
x=91/0.3
x=$303
Therefore, the original price of the sweater is $303.
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Questlon 19
Solve 3(7x + 4)7 – 8 = -2. Write the solution as an exact value.
Answer:
-0.531
Step-by-step explanation:
(21x+12)7-8=-2
147x+84-8=-2
147x=-78
x=-0.531
(PLEASEHELP )Graphic artist makes covers for paperback novels, the pay is $350 per cover. If the artist draws six covers in 48 hours, what is their approximate hourly rate to the nearest $10?
Answer:
350(6) / 48 = 43.75
Step-by-step explanation:
40$ per hour.
Select the correct answer from each drop-down menu.
A town's population was 10,000 in 2005. The population has increased by 10% per year since 2005.
This situation represents
The rate of growth or decay, r, is equal to ____. So each year the number of residents in the town is ___ times the number in the previous year.
There were around 14,641 residents in the town ___ years after 2005.
The rate of growth or decay, r, is equal to 0.10.
What is population?Population in math refers to the set of all items of interest in a given context. It is the target or focus of a statistical study, and the objects described by the population's characteristics are known as population elements. It is important to define the population in detail before analyzing data and drawing conclusions. Examples of populations can include all students at a school, all people living in a particular country, or all people who bought a particular product.
So each year the number of residents in the town is 1.10 times the number in the previous year.
There were around 14,641 residents in the town 14 years after 2005.
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